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Local Analytic Geometry ePub download

by Shreeram Shankar Abhyankar

  • Author: Shreeram Shankar Abhyankar
  • ISBN: 981024505X
  • ISBN13: 978-9810245054
  • ePub: 1830 kb | FB2: 1923 kb
  • Language: English
  • Category: Mathematics
  • Publisher: World Scientific Pub Co Inc (January 16, 2001)
  • Pages: 504
  • Rating: 4.3/5
  • Votes: 845
  • Format: rtf doc lit azw
Local Analytic Geometry ePub download

Shreeram Shankar Abhyankar. Textbook for a graduate course or for self-study by graduate students on a number of topics related to local analytical geometry.

Shreeram Shankar Abhyankar. Includes an algebraic treatment of several complex variables, a geometric approach to algebraic geometry versus analytic sets, a survey of local algebra, and a survey of sheaf theory.

Abhyankar Shreeram Shankar. This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: (1) algebraic treatment of several complex variables; (2) geometric approach to algebraic geometry via analytic sets; (3) survey of local algebra; (4) survey of sheaf theory. The book has been written in the spirit of Weierstrass.

Shreeram Shankar Abhyankar

Shreeram Shankar Abhyankar. This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: algebraic treatment of several complex variables; geometric approach to algebraic geometry via analytic sets; survey of local algebra; and survey of sheaf theory. Power series play the dominant role. The treatment, being algebraic, is not restricted to complex numbers, but remains valid over any complete-valued field.

Shreeram Shankar Abhyankar’s books. Local Analytic Geometry. Algebraic Geometry for Scientists and Engineers.

com's Shreeram Shankar Abhyankar Page and shop for all Shreeram Shankar Abhyankar books. Check out pictures, bibliography, and biography of Shreeram Shankar Abhyankar. Enumerative combinatorics of Young tableaux. Monographs and textbooks in pure and applied mathematics ; 115).

Shreeram Shankar Abhyankar (22 July 1930 – 2 November 2012) was an Indian American mathematician known for his contributions to algebraic geometry. He is known for Abhyankar's conjecture of finite group theory.

Local analytic geometry. Shreeram Shankar Abhyankar.

eBook ISBN: 9780080873268. Affiliations and Expertise. Division of Mathematical Sciences, Purdue University. Imprint: Academic Press. Published Date: 1st January 1964. Page Count: 483. View all volumes in this series: Pure and Applied Mathematics. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. He, at the time of his death, held the Marshall distinguished professor of mathematics chair at Purdue University, and was also a professor of computer. A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems. Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: (1) algebraic treatment of several complex variables; (2) geometric approach to algebraic geometry via analytic sets; (3) survey of local algebra; (4) survey of sheaf theory.The book has been written in the spirit of Weierstrass. Power series play the dominant role. The treatment, being algebraic, is not restricted to complex numbers, but remains valid over any complete-valued field. This makes it applicable to situations arising from number theory. When it is specialized to the complex case, connectivity and other topological properties come to the fore. In particular, via singularities of analytic sets, topological fundamental groups can be studied.In the transition from punctual to local, i.e. from properties at a point to properties near a point, the classical work of Osgood plays an important role. This gives rise to normic forms and the concept of the Osgoodian. Following Serre, the passage from local to global properties of analytic spaces is facilitated by introducing sheaf theory. Here the fundamental results are the coherence theorems of Oka and Cartan. They are followed by theory normalization due to Oka and Zariski in the analytic and algebraic cases, respectively.
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